\(\sigma^*\)-projective covers and \(\sigma\)-Artinian rings

DOI10.1016/0022-4049(86)90055-1zbMath0594.16018OpenAlexW2000083097MaRDI QIDQ1076775

A. C. Benander

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90055-1

zbMATH Keywords

exact sequencehereditary torsion theorydescending chain conditioninjective cogeneratorcocritical moduleperfect torsion theory\(\sigma^*\)-covers\(\sigma^*\)-projective coverclosed right ideals

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Noncommutative local and semilocal rings, perfect rings (16L30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80) Artinian rings and modules (associative rings and algebras) (16P20) Homological methods in associative algebras (16Exx)

Cites Work

• Unnamed Item
• The descending chain condition relative to a torsion theory
• Localizations in categories of modules. III
• Projrctive concepts in torsion theories
• Localization at a semiprime ideal of a right noetherian ring
• Rings and modules of quotients

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